It is 10 to 1 significant figures
The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.
<h3>What is a triangle?</h3>
A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.
Triangle is a very common figure to deal with in our daily life.
It is known that the sum of all three angles inside a triangle will be 180°.
So, m∠A + m∠B + m∠C = 180°
m∠C = 180° - 58° - 44°
m∠C = 78°.
The exterior angle of C = 180- 78 = 102°.
Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".
For more about triangles,
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Answer:
![\boxed {\boxed {\sf C. \ 4 \ inches}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20C.%20%5C%204%20%5C%20inches%7D%7D)
Step-by-step explanation:
Circumference is the perimeter of a circle. It can be found using the formula:
![c= \pi d](https://tex.z-dn.net/?f=c%3D%20%5Cpi%20d)
However, we are given the radius.
- The radius measures from the center to the edge of the circle.
- The diameter measures from edge to edge through the center.
- So, the diameter is twice the radius, or d=2r
The formula can be rewritten as:
![c= \pi 2 r](https://tex.z-dn.net/?f=c%3D%20%5Cpi%202%20r)
We know the circumference is 25.12 inches.
![25.12 \ in = \pi 2r](https://tex.z-dn.net/?f=25.12%20%5C%20in%20%3D%20%5Cpi%202r)
Let's round pi to 3.14
![25.12 \ in = (3.14) 2r](https://tex.z-dn.net/?f=25.12%20%5C%20in%20%3D%20%283.14%29%202r)
We want to solve for the radius, so we must isolate it.
Divide both sides by 3.14 because the inverse of multiplication is division.
![25.12 \ in / 3.14= (3.14 ) 2r / 3.14](https://tex.z-dn.net/?f=25.12%20%5C%20in%20%2F%203.14%3D%20%283.14%20%29%202r%20%20%2F%203.14)
![8 \ in = 2r](https://tex.z-dn.net/?f=8%20%5C%20in%20%3D%202r)
Divide both sides by 2.
![8 \ in / 2 = 2r/2](https://tex.z-dn.net/?f=8%20%5C%20in%20%2F%202%20%3D%202r%2F2)
![4 \ in = r](https://tex.z-dn.net/?f=4%20%5C%20in%20%3D%20r)
The radius of the disc is <u>4 inches.</u>
7.5*.2=1.5
- 1.5= 6.5 w/ 20% off
6.5*0.0525=0.34125- rounded= .34+6.5=
$6.84
Hope this helps!!!!
Answer:
x=-2/5
Step-by-step explanation:
4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis
-12x-4 = 13x+6 ~ add 12x to both sides
-4= 25x + 6 ~ subtract 6 from both sides
-10 =25x ~ divide by 25
-10/25 = x ~ simplify the fraction by dividing the num. and den by 5
-2/5 =x